This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A078434 #37 May 02 2024 07:06:45
%S A078434 2,6,1,2,3,7,5,3,4,8,6,8,5,4,8,8,3,4,3,3,4,8,5,6,7,5,6,7,9,2,4,0,7,1,
%T A078434 6,3,0,5,7,0,8,0,0,6,5,2,4,0,0,0,6,3,4,0,7,5,7,3,3,2,8,2,4,8,8,1,4,9,
%U A078434 2,7,7,6,7,6,8,8,2,7,2,8,6,0,9,9,6,2,4,3,8,6,8,1,2,6,3,1,1,9,5,2,3,8,2,9,7
%N A078434 Decimal expansion of zeta(3/2).
%H A078434 G. C. Greubel, <a href="/A078434/b078434.txt">Table of n, a(n) for n = 1..5000</a>
%H A078434 Alexander Sakhnovich and Lev Sakhnovich, <a href="https://doi.org/10.1007/978-3-319-10335-8_13">Nonlinear Fokker-Planck equation: stability, distance and the corresponding extremal problem in the spatially inhomogeneous case</a>, in: D. Alpay and B. Kirstein (eds.), Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes, Birkhäuser, Cham, 2015, pp. 379-394; <a href="http://arxiv.org/abs/1307.1126">arXiv preprint</a>, arXiv:1307.1126 [math.AP], 2013-2015.
%H A078434 Wikipedia, <a href="http://en.wikipedia.org/wiki/Bose-Einstein_condensate">Bose-Einstein condensate</a>.
%F A078434 Equals (2/sqrt(Pi))*Integral_{x>=0} sqrt(x)/(exp(x)-1) dx. - _Jean-François Alcover_, Nov 12 2013
%F A078434 Equals Gamma(-1/2)*zeta(-1/2)*tau(-1/2) where tau(s) = (2*Pi*i)^(-s) + (-2*Pi*i)^(-s). This follows from the functional equation of the Riemann zeta function. (Cf. A059750, A211113, A019707). - _Peter Luschny_, May 13 2020
%F A078434 Equals -4*Pi*zeta(-1/2) = 10 * A019694 * A211113. - _Amiram Eldar_, May 29 2021
%e A078434 2.6123753486854883433485675679240716305708006524000634075733...
%t A078434 RealDigits[ Zeta[3/2], 10, 110][[1]]
%o A078434 (PARI) zeta(3/2) \\ _Charles R Greathouse IV_, Feb 06 2015
%Y A078434 Cf. A019694, A019707, A033461, A078470, A059750, A211113.
%K A078434 cons,nonn
%O A078434 1,1
%A A078434 _Robert G. Wilson v_, Dec 30 2002